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Vibration Analysis of Continuous Systems
2011The continuum is an abstraction that finds extensive applications in mechanics, for it serves to model many mechanical systems, such as fluids and structural elements of the most complex shapes. In fact, all mechanical systems encountered by the engineer are most accurately modeled by continua, but, in some instances, the type of motion most likely to ...
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The vibration problem of rod system in the continuous elastic medium
Applied Mathematics and Mechanics, 1984zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gu, Xiangzhen +2 more
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Vibration analysis of maglev three-span continuous guideway considering control system
Journal of Zhejiang University-SCIENCE A, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Teng, Yan-Feng +2 more
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Simple, approximate solution of forced vibrations problems of continuous systems
Ocean Engineering, 1993Abstract This note deals with an application of Clough and Penzien's suggestion [(1975), Dynamics of Structures (pp. 549–550). McGraw-Hill, New York] for improving the results obtained by means of the Rayleigh-Ritz method when dealing with forced vibrations problems. Viscous damping is taken into account.
V.H. Cortinez, P.A.A. Laura
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Vibration Analysis of Continuous Systems by Dynamic Discretization
Journal of Mechanical Design, 1980An equivalent mass matrix may be defined, for a segment of a continuous system, as one which retains precisely the dynamic properties of the original segment in discretized form. Dynamic Discretization, which makes use of a particular form of Stodola iteration, progressively generates the equivalent mass matrix in ascending powers of frequency squared,
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13th Biennial Conference on Mechanical Vibration and Noise: Rotating Machinery and Vehicle Dynamics, 1991
Abstract It has been recognized that the effects of coupled vibrations are the most important when the natrural frequencies of torsional and axial vibrations are equal to each other or that axial natrural frequency is double of that of torsional.
X. G. Song +3 more
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Abstract It has been recognized that the effects of coupled vibrations are the most important when the natrural frequencies of torsional and axial vibrations are equal to each other or that axial natrural frequency is double of that of torsional.
X. G. Song +3 more
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Random Vibrations of Linear Continuous Systems
1984In this and the following chapters, we shall consider forced vibrations of linear systems subjected to random loadings. These problems have been thoroughly investigated for systems with a finite number of degrees of freedom; all the necessary information and illustrative examples were given in Sections 2.1 and 2.2.
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Principal Trajectories of Forced Vibrations for Discrete and Continuous Systems
Meccanica, 2000The author shows some relations between linear normal modes and principal directions. He considers a linear \(n\)-degree-of-freedom forced system \(M\ddot{\mathbf x}+K\mathbf x=\mathbf p(\omega t)\), where \(\mathbf x(t)\in R^n\), \(M\) and \(K\) are constant mass and stiffness \(n\times n\)-matrices respectively, and \(\mathbf p(\omega t)\) is a ...
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Forced Vibration of Continuous System With Nonlinear Boundary Conditions
Journal of Mechanical Design, 1978This paper deals with the nonlinear vibration problem concerning mechanical equipment-piping systems in nuclear power plants and others. An analytical method by approximate solutions is introduced for these systems as a continuous system with nonlinear boundary conditions, and some numerical examples are shown.
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Frequency characteristics of flexibly vibration discrete‐continuous mechatronic system
PAMM, 2008AbstractThe purpose of this paper is formulating of problem of flexibly vibrating mechatronic system. The main approach of the subject was to formulate the problem in the form of set of differential equation of motion and state equation of considered mechatronic model of object.
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